Mathlib Map

Theorems · Definition · global analysis

StructureGroupoid.members

{H : Type u_2} → [inst : TopologicalSpace H] → StructureGroupoid H → Set (OpenPartialHomeomorph H H)

Members of the structure groupoid are open partial homeomorphisms.

Defined in
Mathlib.Geometry.Manifold.StructureGroupoid
Cited by
6 results in Mathlib
Foundations
Depth 2 from the axioms · uses no axioms
Assumes
TopologicalSpace
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

StructureGroupoid.locality' · cited by 1StructureGroupoid.localit…StructureGroupoid.symm' · cited by 1StructureGroupoid.symm'StructureGroupoid.trans' · cited by 1StructureGroupoid.trans'StructureGroupoid.mem_of_eqOnSource' · cited by 1StructureGroupoid.mem_of_…StructureGroupoid.id_mem' · cited by 1StructureGroupoid.id_mem'contDiffGroupoid_zero_eq · cited by 1contDiffGroupoid_zero_eqSet · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceOpenPartialHomeomorph · cited by 664OpenPartialHomeomorphStructureGroupoid · cited by 121StructureGroupoidStructureGroupoid.membersCITED BYCITES

Cites4

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Cited by6

Results whose statement or proof uses this declaration.